Being in your situation daily as a airline mechanic,I have stuck to a strick approach with any type of fastener.
SCREW SLOTTED: hit it with aerokroil or another penetrating oil.Let it work its magic for a bit!.Dab coarse valve grinding compound on the head and screw bit tip.
Use a 1/2 drive speed handle! Press down hard with your shoulder and snap it in reverse with a quick force.
HEX head or ALLEN slotted hardware:Same as above but if the head corners are rounded or allen channel is rounded inside,then packing the head with valve grinding compound AND using a metric bit if its sae since you are basically now using a sub-incremented size (remember,its rounded out)
HEX headed bolts or nuts.Pack the socket with valve grinding compount to take up the slop and go for it.Again,since if its rounded off try a metric socket to fit tighter and pack the DAYLIGHTS with VGCompound for grip.
If all else fails,impact hammer or easy out time...

Last edited by stan barrington; 04/16/2017 3:43 PM.